Search a number
-
+
1130271720 = 233571132661
BaseRepresentation
bin100001101011110…
…1001001111101000
32220202210202022120
41003113221033220
54303322143340
6304053351240
740003102554
oct10327511750
92822722276
101130271720
11530010966
12276638520
1315021c546
14aa17c864
15693654d0
hex435e93e8

1130271720 has 64 divisors (see below), whose sum is σ = 3438599040. Its totient is φ = 297158400.

The previous prime is 1130271713. The next prime is 1130271721. The reversal of 1130271720 is 271720311.

1130271720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11302717202 = 2555028322063516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1130271721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57811 + ... + 74850.

It is an arithmetic number, because the mean of its divisors is an integer number (53728110).

Almost surely, 21130271720 is an apocalyptic number.

1130271720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130271720 is an abundant number, since it is smaller than the sum of its proper divisors (2308327320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1130271720 is a wasteful number, since it uses less digits than its factorization.

1130271720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132746 (or 132742 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 1130271720 is about 33619.5139762609. The cubic root of 1130271720 is about 1041.6639168212.

The spelling of 1130271720 in words is "one billion, one hundred thirty million, two hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 132661 265322 397983 530644 663305 795966 1061288 1326610 1591932 1989915 2653220 3183864 3979830 5306440 7959660 9418931 15919320 18837862 28256793 37675724 47094655 56513586 75351448 94189310 113027172 141283965 188378620 226054344 282567930 376757240 565135860 1130271720